未得獎作品

Beings inherit various morphs and natural ability properties from their genetic parents to adapt to the environment and survive; Precis iphita iphita , for instance, is a best example of it. Although few literatures on Precis iphita iphita is found, through long-term field observation on the food intake, nest building, avoiding predator of immature stage, and living domain, the oviposition, plant preference of the adult, different stages of morphs and changes of behavior can be classified obviously when there are environmental or weather changes. The above can help investigate how they interact and influence with plants. This study aims to record and describe various behaviors and surrounding changes for Precis iphita iphita. 生物為適應環境求取生存，從親代遺傳許多形態、本能；黑擬蛺蝶（Precis iphita iphita） 的生活史就是個很好的例子。雖然文獻報告對黑擬蛺蝶的形態與行為描述不多，但藉由野外 長期實地觀察幼蟲的攝食、築巢、躲避天敵，以及成蝶的領域、產卵、食草選擇，可明顯區 分當環境、氣候產生變化時，黑擬蛺蝶不同蟲期的蟲體都有許多外在行為的改變，可作為探 討其與植物間的交互作用和影響。本研究旨在描述黑擬蛺蝶各種不同的行為與當時環境的狀 態，並將實際觀察所得詳實記載，以供他人比較參考。

磁浮隔空旋轉器是由一個旋轉軸和底座構成，利用兩者間相互排斥的磁力， 產生隔空漂浮的效果。本研究首先對旋轉軸的結構加以分析，並設計啟動裝置， 探討啟動電壓、旋轉軸重量及底座磁力等因素對漂浮轉動的影響。 我們分析維持旋轉平衡的各種作用力，並探討旋轉軸重心位置與摩擦力的關 係，以驗證我們的分析結果。此外，我們也利用自行設計的啟動裝置，提供穩定 的初始轉速，探討旋轉軸重心位置不同時，持續轉動時間的變化，進一步驗證所 做的分析。 為了瞭解磁場在旋轉軸漂浮過程中發生的變化，我們設計了支架把空間座標 化，再以高斯計測量出各點的磁場，獲得各平面的磁場強度分佈圖。配合磁力線 分佈圖與所測得的磁場強度分佈圖，我們以一個嶄新的分析模式，將抽象的磁場 概念具體化，使我們對旋轉軸放置前後及磁力與重力平衡時的磁場變化，更深入 的了解，同時也發現磁場強度會隨距離的增加而減弱。 最後我們在旋轉器上裝置感應線圈，經由旋轉實驗測得感應電壓的存在，證 明旋轉器轉動時，磁場會產生變化。 經由對磁浮隔空旋轉器的探討，我們得以了解它的漂浮原理、磁力與摩擦力 間的平衡關係，以及旋轉前後磁場變化。The Magnetic Floating Spinner(MFS) is composed of one spinner with a magnetic base. The floating effect of the spinner is caused by the interaction between the two opposite magnetic fields. We first analyzed the detail structure of the MFS, and then designed a starter to rotate it. Later, we studied the effect of starting electric potential, the weight of the spinner and the magnetic force of the base on the floating movement. We presented an explanation for the forces that maintained the floating of the spinner and, to support that, we studied the friction force with the position change of the spinner gravity centre. We also used the starter designed by us to provide a stable initial rotating force and analyzed the relationship between the change of gravity centre position and the duration of rotation. In order to understand the magnetic field change during floating movement, we designed a spatial frame to coordinate the spinner that floated above the base. We measured the surrounding magnetic force with the Goth’s apparatus and conducted a magnetic force distribution diagram. According to this diagram and the line of magnetic force, we therefore provide a brand new analysis model , which bring the abstract concepts of the magnetic field into a concrete theory. This research not only brings us to understand the magnetic field change of the spinner before and after its placement over the base and the balance between the magnetic and the gravity force, but also reveals that the magnetic force will wane with the increase of distance. Finally, we placed an induction coil by the spinner to detect a voltage change during spinner movement. This is an evidence that the magnetic field will change during the spinner movement. Through the study of MFS, we can now understand why it floats, the balance between magnetic and friction force, and the change of the magnetic force before and after the spinner movement. MFS = Magnetic Floating Spinner

我們的研究工作有兩項重要成果：首先，根據物理學的彈性體振動模型發現：主動脈硬化的定量分析訊息可由測量主動脈相對於心臟運動的延遲時間明確得知，而且可用目前臨床使用中的心臟超音波儀器直接進行此一測量。在對23 個樣品、每個樣品分析大約50至100 次心跳的初步研究中發現，此一延遲時間是確實存在的，而且延遲時間超過大約0.17秒時，樣品就可能具有動脈硬化的現象。其次，在比照過10 組樣品的數據後發現，上述之延遲時間確定可由體外的胸前超音波掃描（TTE）準確測得，而不需要採用侵入式的經食道超音波掃描（TEE），以免除受測者的不適，及避免副作用的風險，使得此一新方法更具有方便、普遍的優點。而且此一方法也可能由數據的分佈發覺心血管之其他病徵。未來仍需應用此一方法對較多樣品進行研究以進一步確定此診斷方法之可靠性。 Two important results were achieved in this research. Firstly, according to the physical model of elastic oscillation, we found that the qualitative analysis of aorta stiffness could be obtained by a measurement of the delay time of the aorta motion relative to the cardiac motion. This measurement could be carried out with the conventional echocardiography. A preliminary analysis based on 23 samples, with 50 to 100 heartbeats per sample, confirmed the existence of this delay time. Also, a delay time of greater than 0.17 sec might imply the symptom of aorta stiffness. Secondary, after a comparison of 10 samples, the aforementioned delay time could be measured with TaransThoracic Echo (TTE) instead of TransEsophadeal Echo (TEE), in which the later is invasive while the former is not. Therefore, the discomfort of the patient and the risk of invasive operation can be avoided, making this new method more convenient and more common to accomplish. This method could also clearly discern some abnormal cardiac performance. A large-scale study with this method should be conducted in the future.

Chemistry experiments in school produce an abundance of waste in both materials and equipment. Since hands-on experimentation is a critical pedagogical tool the trend in classroom experimentation is clearly towards environmentally friendly experiments that scale, but was also able to measure reaction rate in blue cupric sulfate solution using the color dissipation as a rate gauge. There was an evolution of apparatus and experiment design beginning with simple magnifying glass optics and advancing to a custom made, light-gathering microscope video apparatus that allows the experiment to be monitored and files recorded for later viewing. I was inspired by the Yin Yang Sea phenomenon in Taipei County. The Yin Yang Sea is a coastal area in Chinkuashih, Taipei County where coastal currents in the area lack the strength to disperse the heavy metal pollutants that empty into the Lientung Bay. The result is a contrast between the blue sea water and the turgid yellow ground water. This contrast led me to add an all-purpose indicator to the reactant solution. This deepens the visual effect of the electrolysis experiment. 我們從環境保護的角度去思考學校的化學實驗時，減量減廢的微型化學實驗已是未來實驗的趨勢。經過多年的努力，我除了成功的做到電解最微量的一滴溶液外，對於從藍色硫酸銅溶液顏色消失的電解時間裡，還可做定量的檢定感到不可思議！為了更清楚看到液滴溶液的電解反應，儀器的設計由放大鏡到自組顯微投影機，最後進階到顯微視訊的畫面，它不但可記錄下來，而且可在電腦中播放。為了更清楚看到液滴溶液的氧化還原反應和酸鹼變化，我想到了在北台灣的金瓜石海域一處特別的景觀，那就是離岸近海處有黃藍兩個不同顏色的陰陽海！於是我加了廣用指示劑到液滴中，由電解後出現的的陰陽海畫面，更可加深實驗的效果。 最重要的是：最環保也最接近零污染的顯微化學實驗，已然是未來可發展下去的目標。

任意一個三角形要如何分割成四個彼此相似的組成三角形呢？我們透過嚴謹的數學推理，先對三角形作二、三分割的可能情形進行驗證，並藉由已完成相似二、三分割的三角形，運用「內分」和「外加」的觀念，使相似四分割的討論變得明快，並得以將各式三角形的所有相似四分割的圖示作完整而有系統的呈現。 \r 我們也對「比例四分割」的作圖法與其相關幾何性質，進行猜想與討論，並驗證得出一些結果。尤其對「黃金三角形」經比例四分割後，組成三角形之對應邊長的比值也是「黃金值」，以及使用五條摺痕線的摺紙方式，可以摺出一張黃金三角形紙張的比例四分割，這些研究結果都令我們感到獲益良多。 How to divide a triangle into four similar little triangles？ Possible situations of dividing a triangle into two or three parts could be testified by strict mathematical inferences, and then the concepts of “internal division” and “external addition” could be applied to make our discussion clearly and briefly. With above discussions, figures about four similar divisions of all kinds of triangles could be presented completely and systematically. Some results were come up after making some conjectures and discussions about the geometric constructions and geometric properties of “four proportional divisions”. We learn a lot by these researches especially on the discoveries that the ratio of those corresponding sides in each four similar triangles which form a golden triangle, is also golden ratio; and that we could divide a golden triangle into four similar triangles by using five folding lines.

A novel and simple method was developed to determine the activity of silver in nanometer particles more than in non-nanometer particles. The conductivity of conducting polymer, polyaniline (PANI) doped with different amount of nanometer silver particles was used to evaluated the activity of nanometer silver. In polymerization of polyaniline, hydrogen chloride solution usually used to increase the conductivity of polyaniline. When 1%(w/w) nanometer silver particles doped during the polymerization, the conductivity of polyaniline was down from 2.28 s/cm to 0.65 s/cm, then increased with increasing the amount of nanometer silver doped. The conductivity of polyaniline was changed from 2.28 s/cm to 0.47 s/cm when 3%(w/w) nanometer silver particles doped, but it is increased from 2.28 s/cm to 2.44 s/cm when was doped with 3%(w/w) micrometer silver particles. The conductivity of polyaniline changed due to the formation of silver chloride (AgCl) in doping nanometer silver. Some of the nanometer silver particles were formed to silver ion in hydrogen chloride solution for the high activity property of nanometer silver. This also can be proved from the spectra of XRD and FE-SEM. Therefore; determination the conductivity of conducting polymer by doping nanometer metal particles can be used to determine the activity of the nanometer particles. 本研究為開發一個新穎的檢測奈米金屬粒子化學活性大於非奈米金屬粒子的簡易方法。方法為利用導電高分子聚苯胺，於合成過程中添加不同濃度的奈米銀粒子，並分別偵測其成品的導電度，藉以評估奈米銀粒子的化學活性。由於聚苯胺在合成過程中通常加入鹽酸以提高其導電度，致活性較大的奈米銀粒子於氧化後，隨即與氯離子形成氯化銀的沉澱，而降低聚苯胺的導電度，如添加1﹪(w/w)奈米銀粒子的，其導電度由2.28 s/cm 降至0.65 s/cm，隨後隨著添加量的增加導電度先降後再稍回升。一般非奈米級銀粒子因氧化電位為負值，即化學活性小，而不易被氧化。由實驗結果，我們發現同樣添加3%(w/w)的奈米級銀粒子或微米級銀粒子，添加奈米級銀粒子的導電度由2.28 下降為0.47，添加微米級銀粒子的導電度卻由2.28 上升為2.44，此乃說明本方法確實足以證明奈米級金屬的化學活性的確遠大於微米級金屬，因相同條件下，微米級銀粒子未如同奈米級銀粒子一樣被氧化成銀離子。即奈米級銀粒子可以輕易的被氧化，而非奈米級銀粒子則不易被氧化。尤其也可由X 光繞射儀分析光譜圖和場發射式掃描電子顯微鏡拍攝圖證明。因此，我們可以採用添加3 %(w/w)奈米級金屬銀粒子及微米級金屬銀粒子於導電高分子的方法，並藉導電度的變化，證明奈米金屬粒子的高活潑性。

我們的題目是”座標平面上任意三點與x軸的最短距離和”。我們一開始直接由尺規作圖著手，把距離和最小時的那點設為p，但始終無法找到一個方法精確畫到p點。後來變轉入公式的研究，我們設第一象限中A B 和C三點，固定A B C的y座標為d，並討論不同d時的情況，求出B點的範圍。另外我們也從橢圓方面著手，但此部份目前還待努力。;A B and C are three points in the plane, and L is a line in the same plane. Our target is to find a point P in L make the sum of PA+PB+PC minimum. At first we undertake by drawing pictures but we can’t find the solution we want in any case. We make L to be X-axis make A B C’s Y-coordinate to be d, and then we discuss various situations of d, and figure out the range of B. We also analyze the situation in oval, but still have no conclusion.

The definition of "Fermat Point" is that a dot, which lies in a triangle, has the minimum distance to the three apexes. In other words, "Fermat Point" has the minimum distance to three dots which are not on the same line. In the broad sense, then, in a N polygon, a dot which has the minimum distance to the N apexes could be named "Fermat Point." But what if we link up the N apexes and find out that they cannot make a convex polygon? The above is what we wish to fully discuss. Our inspiration comes from a paper on"Fermat Point." It just describes N convex polygon, so we think of putting the case to naturally polygon. The case may be that it is a concave polygon or part of the apexes which lies on the same line. We would not base our study on the conventional methods. Moreover, strictly defined, the repeated line segment will not be taken into account. That is, if the "Fermat Point" drops on the line with more than two dots on it, we just count the\r line segments except for the shorter line segments which were originally included in other studies. According to the theorem, our conclusions are as follows: 1. If N points lie on the same line segment, then the "Fermat Point"can be any point on the line segment. 2. If (N-1) points are on the same line segment, then the "Fermat Point" is on the point which two lines join together. One is that the line segment, and the other is the one which passes the remaining point and\r perpendicular to the first line segment. 3. Now there are (M+N) points. Among them, M points will make a M jog-polygon. The others all drop in the polygon. As the diagram shown beneath, we know that the "Fermat Point" drops on the point which two lines join together. The two lines must pass as many points as possible. 所謂的「費馬點」是指三角形內到三頂點距離和最小的點。換言之，「費馬點」就是到平面上不共線三點距離和最小的點。因此，我們可定義，廣義的「費馬點」即是n 多邊形內到各頂點距離和最小的點，亦即到平面上不共線n 點距離和最小的點，但若平面上n 點不能恰為n 多邊形的頂點呢？這就是我們所要討論的。由於我們的靈感來自一份關於「費馬點」的科展作品，所以我們想到，當平面上n 點不能恰為n 凸多邊形的頂點，甚或其中有一部分的點共線時，將不能以n邊形的方法來探討，但我們可以將之化為m 邊形內（n-m）個點來討論。而更重要的是，我\r 們增加了另一個限制，重複的線段將不被我們列入計算。亦即當所求點落在某一多點共線的線段上時，我們只計算該線段的總長，而不計其中重複的較短線段。根據這個原則，我們試行證明平面上三點、四點、五點及六點的可能情況，期望能從中找出足以推廣至平面上n 點的一般性。結果雖不完美，但我們總算差強人意的歸納出了下列結論：1.若n 點共線段，所求點可為所共線段上任一點。2.若（n-1）點共線段，則由該不共線點引一線與共線段垂直，其交點即為所求。3.若（n+m）個點中有m 個點為一m 多邊形的頂點，另外n 個點落在該m 多邊形內，則由兩個外頂點引直線盡可能通過最多點，該兩直線的交點即為所求。

在實驗用共振法測量聲音在固體、液體、氣體中的駐波聲場，測量各介質中的聲速。研究超聲波在液體中的空腔效應，鋁箔在不同液體受空腔效應所破損面積與時間略成正比，並發現在水與各濃度的洗潔精水溶液中以水的破損效果最明顯。另外利用1.65MHz 高頻超聲波打入水中，因駐波使水有疏密不同產生狹縫，以雷射通過狹縫有光的繞射花紋產生，由干涉條紋可推估駐波波長。利用閃頻共振法研究光彈材料超聲波場，且發展出以肉眼觀測的裝置，由光彈材料的花紋級數與應力研究中，發現花紋級數與應力成正相關，由聲場中的花紋顏色判斷所受應力大小，並發現超聲波不僅有聲場產生並伴隨熱效應，會影響觀測花紋級數。This project began by studying the fundamental properties of acoustic waves, the relationship between its velocity, frequency and wavelength. Experiments regarding the distribution of sound waves in different mediums, and the induction of resonance in solid, liquid and gaseous materials were conducted. Results from utilizing suspending method to confirm theoretical prediction of sound velocity was accurate, and the sound wave patterns in photo-elastic materials were observed. It was also observed that an aluminum foil would be cut in an ultrasonic cleaning device. The effects of different liquids such as water and detergents on cleaning effectiveness were then experimentally determined, taking into account factors such as viscosity. From reference materials, we learned that ultrasonic waves would create Caritation in liquids. Traditionally, sound waves are expected to exhibit only longitudinal waves, yet in this study it was discovered that the residual\r stresses from resonance in photo-elastic materials also indicate the existence of transverse waves.

A novel and simple method was developed to determine the activity of silver in nanometer particles more than in non-nanometer particles. The conductivity of conducting polymer, polyaniline (PANI) doped with different amount of nanometer silver particles was used to evaluated the activity of nanometer silver. In polymerization of polyaniline, hydrogen chloride solution usually used to increase the conductivity of polyaniline. When 1%(w/w) nanometer silver particles doped during the polymerization, the conductivity of polyaniline was down from 2.28 s/cm to 0.65 s/cm, then increased with increasing the amount of nanometer silver doped. The conductivity of polyaniline was changed from 2.28 s/cm to 0.47 s/cm when 3%(w/w) nanometer silver particles doped, but it is increased from 2.28 s/cm to 2.44 s/cm when was doped with 3%(w/w) micrometer silver particles. The conductivity of polyaniline changed due to the formation of silver chloride (AgCl) in doping nanometer silver. Some of the nanometer silver particles were formed to silver ion in hydrogen chloride solution for the high activity property of nanometer silver. This also can be proved from the spectra of XRD and FE-SEM. Therefore; determination the conductivity of conducting polymer by doping nanometer metal particles can be used to determine the activity of the nanometer particles. 本研究為開發一個新穎的檢測奈米金屬粒子化學活性大於非奈米金屬粒子的簡易方法。方法為利用導電高分子聚苯胺，於合成過程中添加不同濃度的奈米銀粒 子，並分別偵測其成品的導電度，藉以評估奈米銀粒子的化學活性。由於聚苯胺在合成過程中通常加入鹽酸以提高其導電度，致活性較大的奈米銀粒子於氧化後，隨即與氯離子形成氯化銀的沉澱，而降低聚苯胺的導電度，如添加1﹪(w/w)奈米銀粒子的，其導電度由2.28 s/cm 降至0.65 s/cm，隨後隨著添加量的增加導電度先降後再稍回升。一般非奈米級銀粒子因氧化電位為負值，即化學活性小，而不易被氧化。由實驗結果，我們發現同樣添加3%(w/w)的奈米級銀粒子或微米級銀粒子，添加奈米級銀粒子的導電度由2.28 下降為0.47，添加微米級銀粒子的導電度卻由2.28 上升為2.44，此乃說明本方法確實足以證明奈米級金屬的化學活性的確遠大於微米級金屬，因相同條件下，微米級銀粒子未如同奈米級銀粒子一樣被氧化成銀離子。即奈米級銀粒子可以輕易的被氧化，而非奈米級銀粒子則不易被氧化。尤其也可由X 光繞射儀分析光譜圖和場發射式掃描電子顯微鏡拍攝圖證明。因此，我們可以採用添加3 %(w/w)奈米級金屬銀粒子及微米級金屬銀粒子於導電高分子的方法，並藉導電度的變化，證明奈米金屬粒子的高活潑性。